Related papers: An index theorem for gerbes
We formulate and prove the Siegel-Weil formula for loop groups.
The present article gives the index formula of the principal congruence subgroups of the Hecke group H_5
In this article we use the Desargues' theorem and its reciprocal to solve two problems.
We give a counting based proof of the Graham Pollak Theorem
This paper studies robustness of multivariable systems with parametric uncertainties, and establishes a multivariable version of Edge Theorem. An illustrative example is presented.
In this paper, we prove a version of Lagrange's theorem for gyrogroups and use this result to prove that gyrogroups of particular orders have the strong Cauchy property.
In this paper we explore a new method of analysis of associative algebras.
In this paper, we give a class of reconstructible graphs.
In this paper we investigate some strong convergence theorems for partial sums with respect to Vilenkin system.
In this paper, we study a point-hyper plane incidence theorem in matrix rings, which generalizes all previous works in literature of this direction.
We suggest an alternative proof of a theorem due to Lambek and Moser using a perceptible model.
In this paper, we present a short proof of Halin's grid theorem.
Relative index theorems, which deal with what happens with the index of elliptic operators when cutting and pasting, are abundant in the literature. It is desirable to obtain similar theorems for other stable homotopy invariants, not the…
In this paper, we prove an integral theorem for Cegrell class $\mathcal{F}(f)$ and use this result to study the $\mathcal{F}$-equivalence relation.
Let X --> B be a proper submersion with a Riemannian structure. Given a differential K-theory class on X, we define its analytic and topological indices as differential K-theory classes on B. We prove that the two indices are the same.
We prove a version of a general transfer theorem for random sequences with independent random indexes in the double array limit setting under relaxed conditions. We also prove its partial inverse providing the necessary and sufficient…
We provide a Kingman-like Theorem for arbitrary finite measures and a version of Birkhoff's Theorem for bounded observable. As an application, we show that Birkhoff's limit exists for some continuous observable, in an example of Bowen.
A proof is given of Rosenthal's \(\ell_1\) theorem.
In this paper we study n-composition series of affine manifolds. One composition series are classified using gerbe theory. It is natural to think that n-composition series must be classified using n-gerbe theory. In the last section of…
In this note we give a wellfoundedness proof of a computable notation system for first-order reflection.